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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_6baf2bb612a2f0daa69af3101ede80a1.html">cutlass</a></li>  </ul>
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<a href="complex_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/***************************************************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright (c) 2017-2019, NVIDIA CORPORATION.  All rights reserved.</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without modification, are permitted</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * provided that the following conditions are met:</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> *     * Redistributions of source code must retain the above copyright notice, this list of</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> *       conditions and the following disclaimer.</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *     * Redistributions in binary form must reproduce the above copyright notice, this list of</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> *       conditions and the following disclaimer in the documentation and/or other materials</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> *       provided with the distribution.</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> *     * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *       to endorse or promote products derived from this software without specific prior written</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> *       permission.</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY EXPRESS OR</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> * OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> * STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> **************************************************************************************************/</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;cuComplex.h&gt;</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;cstdint&gt;</span></div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="cutlass_8h.html">cutlass/cutlass.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="half_8h.html">cutlass/half.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="real_8h.html">cutlass/real.h</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#if !defined(__CUDACC_RTC__)</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;iosfwd&gt;</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacecutlass.html">cutlass</a> {</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cde">   43</a></span>&#160;<span class="keyword">enum class</span> <a class="code" href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cde">ComplexTransform</a> {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  <a class="code" href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cdea35c3ace1970663a16e5c65baa5941b13">kNone</a>,</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <a class="code" href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cdea8be1522542c86e700b5e787b1aabc70b">kConjugate</a></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;};</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">// Accessors for CUDA complex types</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">   56</a></span>&#160;<span class="keywordtype">float</span> <span class="keyword">const</span> &amp;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(cuFloatComplex <span class="keyword">const</span> &amp;z) { <span class="keywordflow">return</span> z.x; }</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8fd098f5be681292ce2051ce171f0aa5">   60</a></span>&#160;<span class="keywordtype">float</span> &amp;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(cuFloatComplex &amp;z) { <span class="keywordflow">return</span> z.x; }</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ae0cde0dbf619d61fcbeed8bf9f21c6ca">   64</a></span>&#160;<span class="keywordtype">double</span> <span class="keyword">const</span> &amp;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(cuDoubleComplex <span class="keyword">const</span> &amp;z) { <span class="keywordflow">return</span> z.x; }</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a2ccc4e86a30fe5337bc3664e6bcd1bb4">   68</a></span>&#160;<span class="keywordtype">double</span> &amp;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(cuDoubleComplex &amp;z) { <span class="keywordflow">return</span> z.x; }</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">   72</a></span>&#160;<span class="keywordtype">float</span> <span class="keyword">const</span> &amp;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(cuFloatComplex <span class="keyword">const</span> &amp;z) { <span class="keywordflow">return</span> z.y; 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}</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a6b4672114b504719d4b3925dc4fec203">   84</a></span>&#160;<span class="keywordtype">double</span> &amp;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(cuDoubleComplex &amp;z) { <span class="keywordflow">return</span> z.y; }</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html">   92</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcutlass_1_1complex.html">complex</a></div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;{</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160; 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<span class="keyword">public</span>:</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="comment">// Methods</span></div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a9050cd0f48c7a7b718ea9223299b3a82">  116</a></span>&#160;  <a class="code" href="classcutlass_1_1complex.html#a9050cd0f48c7a7b718ea9223299b3a82">complex</a>(T r = T(0)) : _real(r), _imag(T(0)) {}</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a0eae629b6e4bf0be4a8d259fcc59c842">  120</a></span>&#160;  <a class="code" href="classcutlass_1_1complex.html#a0eae629b6e4bf0be4a8d259fcc59c842">complex</a>(T r, T i) : _real(r), _imag(i) {}</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment"></span>  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a2a853405a46cc6ed36185a80bd2aae98">  125</a></span>&#160; 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 <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#ada1e58813aa2d901d44237f5f9fb37db">  133</a></span>&#160;  <a class="code" href="classcutlass_1_1complex.html#ada1e58813aa2d901d44237f5f9fb37db">complex</a>(cuDoubleComplex <span class="keyword">const</span> &amp;z) : _real(static_cast&lt;T&gt;(cuCreal(z))), _imag(static_cast&lt;T&gt;(cuCimag(z))) {}</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#aedddbb22051f5b3a5b45a6b0377cfa9c">  138</a></span>&#160; 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   <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  }</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#acea055c11a695f0c14c4da2280b311f1">  146</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <span class="keywordtype">bool</span> <a class="code" href="classcutlass_1_1complex.html#acea055c11a695f0c14c4da2280b311f1">operator==</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;rhs)<span class="keyword"> const </span>{</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="keywordflow">return</span> this-&gt;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>() == rhs.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>() &amp;&amp; this-&gt;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>() == rhs.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>();</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  }</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#adc03f7ab9c6a1c3b61073be3a4384c28">  151</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <span class="keywordtype">bool</span> <a class="code" href="classcutlass_1_1complex.html#adc03f7ab9c6a1c3b61073be3a4384c28">operator!=</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;rhs)<span class="keyword"> const </span>{</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    <span class="keywordflow">return</span> !(*<span class="keyword">this</span> == rhs);</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  }</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a09919ee4b99816bffed389b53f28dbf0">  157</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="classcutlass_1_1complex.html#a09919ee4b99816bffed389b53f28dbf0">operator+</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs)<span class="keyword"> const </span>{</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(this-&gt;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>() + rhs.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>(), this-&gt;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>() + rhs.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>());</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  }</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a5fd9515e7f802221d6eb7c36f83586cd">  163</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="classcutlass_1_1complex.html#a5fd9515e7f802221d6eb7c36f83586cd">operator-</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs)<span class="keyword"> const </span>{</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(this-&gt;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>() - rhs.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>(), this-&gt;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>() - rhs.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>());</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  }</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#ad87393e41d5f5d9df5a34759aadb84e9">  169</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="classcutlass_1_1complex.html#ad87393e41d5f5d9df5a34759aadb84e9">operator*</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs)<span class="keyword"> const </span>{</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(this-&gt;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>() * rhs.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>() - this-&gt;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>() * rhs.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>(),</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;                      this-&gt;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>() * rhs.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>() + this-&gt;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>() * rhs.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>());</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;  }</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00176"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#ab6920fb37eafe6d03164bf781cfefd8e">  176</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="classcutlass_1_1complex.html#ab6920fb37eafe6d03164bf781cfefd8e">operator*</a>(A <span class="keyword">const</span> &amp;s)<span class="keyword"> const </span>{</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160; 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     *<span class="keyword">this</span> = *<span class="keyword">this</span> + rhs;</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;  }</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00204"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#ac955777830f1a5a487a57852528ea9ef">  204</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> &amp;<a class="code" href="classcutlass_1_1complex.html#ac955777830f1a5a487a57852528ea9ef">operator-=</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs) {</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      *<span class="keyword">this</span> = *<span class="keyword">this</span> - rhs;</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  }</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a5a2b48db6f225da9f7463408bbc1bd16">  211</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> &amp;<a class="code" href="classcutlass_1_1complex.html#a5a2b48db6f225da9f7463408bbc1bd16">operator*=</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs) {</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;      *<span class="keyword">this</span> = *<span class="keyword">this</span> * rhs;</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;  }</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00218"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a2d058be8ca865bc8556228a843538b92">  218</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> &amp;<a class="code" href="classcutlass_1_1complex.html#a2d058be8ca865bc8556228a843538b92">operator*=</a>(A s) {</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      *<span class="keyword">this</span> = *<span class="keyword">this</span> * s;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;  }</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> A&gt;</div><div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a41f71af804002f802c0a6fbc4d8938a0">  225</a></span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> &amp;<a class="code" href="classcutlass_1_1complex.html#a41f71af804002f802c0a6fbc4d8938a0">operator/=</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;A&gt;</a> <span class="keyword">const</span> &amp;rhs) {</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      *<span class="keyword">this</span> = *<span class="keyword">this</span> / rhs;</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00232"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">  232</a></span>&#160;  T <span class="keyword">const</span> &amp;<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> _real; }</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00236"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a2b4f7ab916a7b0f672a05a73a4d77e4b">  236</a></span>&#160;  T &amp;<a class="code" href="classcutlass_1_1complex.html#a2b4f7ab916a7b0f672a05a73a4d77e4b">real</a>() { <span class="keywordflow">return</span> _real; }</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00240"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">  240</a></span>&#160;  T <span class="keyword">const</span> &amp;<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> _imag; }</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00244"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a416a4e464e141737936da35d1096a845">  244</a></span>&#160;  T &amp;<a class="code" href="classcutlass_1_1complex.html#a416a4e464e141737936da35d1096a845">imag</a>() { <span class="keywordflow">return</span> _imag; }</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="classcutlass_1_1complex.html#a20853f692a65e361e0f06b8af3a4a394">  248</a></span>&#160; 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}</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;};</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;</div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="comment">// Accessors for complex template</span></div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;</div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00263"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8538ac12cfc174e0965cabfe6bd3d859">  263</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T <span class="keyword">const</span> &amp;<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160; 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 <span class="keywordflow">return</span> z.<a class="code" href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">real</a>();</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;}</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ae0b2f240ec391709671b3561d04b2826">  275</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T <span class="keyword">const</span> &amp;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;  <span class="keywordflow">return</span> z.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>();</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;}</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00281"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ae84f289e03399a5393c184ce6f6ea25b">  281</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T &amp;<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> &amp;z) {</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;  <span class="keywordflow">return</span> z.<a class="code" href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">imag</a>();</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;}</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;<span class="comment">// Output operators</span></div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;<span class="preprocessor">#if !defined(__CUDACC_RTC__)</span></div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00291"></a><span class="lineno"><a class="line" href="namespacecutlass.html#addd443fc82f2acf867a61acff6c1cd29">  291</a></span>&#160;std::ostream &amp;operator&lt;&lt;(std::ostream &amp;out, complex&lt;T&gt; <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  T _r = <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z);</div><div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  T _i = <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z);</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;  <span class="keywordflow">if</span> (<span class="keywordtype">bool</span>(_i)) {</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;    <span class="keywordflow">return</span> out &lt;&lt; _r &lt;&lt; <span class="stringliteral">&quot;+i&quot;</span> &lt;&lt; _i;</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  }</div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  <span class="keywordflow">return</span> out &lt;&lt; _r;</div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;}</div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="comment">// Non-member operators defined for complex types</span></div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;</div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;</div><div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="comment">// Non-member functions defined for complex numbers</span></div><div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;</div><div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00313"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">  313</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(z));</div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;}</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00319"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a2d34a68d49bf2a35de81b6600425b645">  319</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T <a class="code" href="namespacecutlass.html#a2d34a68d49bf2a35de81b6600425b645">arg</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;  <span class="keywordflow">return</span> atan2(<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z), <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z));</div><div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;}</div><div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;</div><div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00325"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">  325</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> T <a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(T <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;    <span class="keywordflow">return</span> z * z;</div><div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;}</div><div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00331"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ac6da2f4c8e675ef7c53cffeb04ccaff1">  331</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> int8_t <a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(int8_t <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span>int8_t<span class="keyword">&gt;</span>(z * z);</div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;}</div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00337"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a462c9f7d686d23a0a764a773c9af2f47">  337</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <span class="keywordtype">double</span> <a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) * <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) + <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z) * <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z);</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;}</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;</div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> R&gt;</div><div class="line"><a name="l00343"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a326d3123e33cfd02c4e7ad519c56561f">  343</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> R <a class="code" href="namespacecutlass.html#a326d3123e33cfd02c4e7ad519c56561f">norm_accumulate</a>(T <span class="keyword">const</span> &amp;x, R <span class="keyword">const</span> &amp; accumulator) {</div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;  <span class="keywordflow">return</span> accumulator + <span class="keyword">static_cast&lt;</span>R<span class="keyword">&gt;</span>(x) * static_cast&lt;R&gt;(x);</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;}</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> R&gt;</div><div class="line"><a name="l00349"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a47fce4c8a33798ec16ad04e8c8bc651d">  349</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> R <a class="code" href="namespacecutlass.html#a326d3123e33cfd02c4e7ad519c56561f">norm_accumulate</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z, R <span class="keyword">const</span> &amp;accumulator) {</div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  <span class="keywordflow">return</span> accumulator + <span class="keyword">static_cast&lt;</span>R<span class="keyword">&gt;</span>(<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z)) * static_cast&lt;R&gt;(<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z)) + </div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;    static_cast&lt;R&gt;(<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z)) * static_cast&lt;R&gt;(<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z));</div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;}</div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;</div><div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00356"></a><span class="lineno"><a class="line" href="namespacecutlass.html#adba9348e32642fa40c186b5ca6e5ba4e">  356</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#adba9348e32642fa40c186b5ca6e5ba4e">conj</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z), -<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z));</div><div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;}</div><div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;</div><div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00362"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a325f724545a11d64c5353664a1494ab2">  362</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a325f724545a11d64c5353664a1494ab2">proj</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;  T d = <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) * <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) + <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z) * <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z) + T(1);</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>((T(2) * <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z)) / d, (T(2) * <a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z)) / d);</div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;}</div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a7bd7a35ae6ef9c350ae342b8c75958c5">  369</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a7bd7a35ae6ef9c350ae342b8c75958c5">polar</a>(T <span class="keyword">const</span> &amp;r, T <span class="keyword">const</span> &amp;theta = T()) {</div><div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(r * <a class="code" href="namespacecutlass.html#a2337866060023f87d4d821850738541f">cos</a>(theta), r * <a class="code" href="namespacecutlass.html#a9ef7187befb09019b92e7eefa5e230d7">sin</a>(theta));</div><div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;}</div><div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;</div><div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00375"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">  375</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">exp</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(<a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) * <a class="code" href="namespacecutlass.html#a2337866060023f87d4d821850738541f">cos</a>(<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z)), <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z) * <a class="code" href="namespacecutlass.html#a9ef7187befb09019b92e7eefa5e230d7">sin</a>(<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z)));</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;}</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00381"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">  381</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">log</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(<a class="code" href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">log</a>(<a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(z)), <a class="code" href="namespacecutlass.html#a2d34a68d49bf2a35de81b6600425b645">arg</a>(z));</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;}</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;</div><div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00387"></a><span class="lineno"><a class="line" href="namespacecutlass.html#aaa5f2bd47498161eb6cde61ff0461b59">  387</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#aaa5f2bd47498161eb6cde61ff0461b59">log10</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">log</a>(z) / T(<a class="code" href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">log</a>(T(10)));</div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;}</div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;</div><div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00393"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">  393</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(T(2)) / T(2) *</div><div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;         <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(<a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(z)) + <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z)),</div><div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;                    (<a class="code" href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">imag</a>(z) &lt; 0 ? T(-1) : T(1)) * <a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">sqrt</a>(<a class="code" href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">norm</a>(z)) - <a class="code" href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">real</a>(z)));</div><div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;}</div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;</div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00401"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a2337866060023f87d4d821850738541f">  401</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a2337866060023f87d4d821850738541f">cos</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  <span class="keywordflow">return</span> (<a class="code" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">exp</a>(z) + <a class="code" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">exp</a>(-z)) / T(2);</div><div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;}</div><div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;</div><div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00407"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a9ef7187befb09019b92e7eefa5e230d7">  407</a></span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a> <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <a class="code" href="namespacecutlass.html#a9ef7187befb09019b92e7eefa5e230d7">sin</a>(<a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a> <span class="keyword">const</span> &amp;z) {</div><div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  <span class="keywordflow">return</span> (<a class="code" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">exp</a>(-z) - <a class="code" href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">exp</a>(z)) * <a class="code" href="classcutlass_1_1complex.html">complex&lt;T&gt;</a>(T(0), T(1) / T(2));</div><div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;}</div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;</div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;</div><div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00415"></a><span class="lineno"><a class="line" href="structcutlass_1_1RealType_3_01complex_3_01T_01_4_01_4.html">  415</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structcutlass_1_1RealType.html">RealType</a>&lt; <a class="code" href="classcutlass_1_1complex.html">complex</a>&lt;T&gt; &gt; {</div><div class="line"><a name="l00416"></a><span class="lineno"><a class="line" href="structcutlass_1_1RealType_3_01complex_3_01T_01_4_01_4.html#ae6eb6abf3c759633ac9cac2ca34c60e9">  416</a></span>&#160;  <span class="keyword">using</span> <a class="code" href="structcutlass_1_1RealType_3_01complex_3_01T_01_4_01_4.html#ae6eb6abf3c759633ac9cac2ca34c60e9">Type</a> = T;</div><div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;};</div><div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;</div><div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;</div><div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00423"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ac0bfc6f3e3e772bf15ecad24481194cb">  423</a></span>&#160;<a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;half_t&gt;</a> from_real&lt;cutlass::complex&lt;half_t&gt; &gt;(<span class="keywordtype">double</span> r) {</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;half_t&gt;</a>(<a class="code" href="structcutlass_1_1half__t.html">half_t</a>(r));</div><div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;}</div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;</div><div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00429"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a7604eaf7d08b2362906b87ebeab6b761">  429</a></span>&#160;<a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;float&gt;</a> from_real&lt;cutlass::complex&lt;float&gt; &gt;(<span class="keywordtype">double</span> r) {</div><div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;float&gt;</a>(float(r));</div><div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;}</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00435"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a39965d02765d0e4aa491b7654d0ea7e4">  435</a></span>&#160;<a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;double&gt;</a> from_real&lt;cutlass::complex&lt;double&gt; &gt;(<span class="keywordtype">double</span> r) {</div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classcutlass_1_1complex.html">cutlass::complex&lt;double&gt;</a>(r);</div><div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;}</div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;</div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;</div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;}  <span class="comment">// namespace cutlass</span></div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;</div><div class="ttc" id="namespacecutlass_html_a2337866060023f87d4d821850738541f"><div class="ttname"><a href="namespacecutlass.html#a2337866060023f87d4d821850738541f">cutlass::cos</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; cos(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the cosine of complex z. </div><div class="ttdef"><b>Definition:</b> complex.h:401</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_ada1e58813aa2d901d44237f5f9fb37db"><div class="ttname"><a href="classcutlass_1_1complex.html#ada1e58813aa2d901d44237f5f9fb37db">cutlass::complex::complex</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex(cuDoubleComplex const &amp;z)</div><div class="ttdoc">Conversion from cuDoubleComplex. </div><div class="ttdef"><b>Definition:</b> complex.h:133</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_ac955777830f1a5a487a57852528ea9ef"><div class="ttname"><a href="classcutlass_1_1complex.html#ac955777830f1a5a487a57852528ea9ef">cutlass::complex::operator-=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator-=(complex&lt; A &gt; const &amp;rhs)</div><div class="ttdoc">Subtraction. </div><div class="ttdef"><b>Definition:</b> complex.h:204</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a5fd9515e7f802221d6eb7c36f83586cd"><div class="ttname"><a href="classcutlass_1_1complex.html#a5fd9515e7f802221d6eb7c36f83586cd">cutlass::complex::operator-</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator-(complex&lt; A &gt; const &amp;rhs) const </div><div class="ttdoc">Subtraction. </div><div class="ttdef"><b>Definition:</b> complex.h:163</div></div>
<div class="ttc" id="namespacecutlass_html"><div class="ttname"><a href="namespacecutlass.html">cutlass</a></div><div class="ttdef"><b>Definition:</b> aligned_buffer.h:35</div></div>
<div class="ttc" id="namespacecutlass_html_a59f08b1b99c4d52257b962d35ba55cde"><div class="ttname"><a href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cde">cutlass::ComplexTransform</a></div><div class="ttdeci">ComplexTransform</div><div class="ttdoc">Enumeraed type describing a transformation on a complex value. </div><div class="ttdef"><b>Definition:</b> complex.h:43</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_aedddbb22051f5b3a5b45a6b0377cfa9c"><div class="ttname"><a href="classcutlass_1_1complex.html#aedddbb22051f5b3a5b45a6b0377cfa9c">cutlass::complex::operator=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator=(complex&lt; A &gt; const &amp;z)</div><div class="ttdoc">Assignment. </div><div class="ttdef"><b>Definition:</b> complex.h:138</div></div>
<div class="ttc" id="namespacecutlass_html_a512b1ef2b0213d48738cac7bbb87a98e"><div class="ttname"><a href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">cutlass::abs</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T abs(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Returns the magnitude of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:313</div></div>
<div class="ttc" id="namespacecutlass_html_a236d41e43fc97943fb2412fcbb40aec1"><div class="ttname"><a href="namespacecutlass.html#a236d41e43fc97943fb2412fcbb40aec1">cutlass::imag</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE float const &amp; imag(cuFloatComplex const &amp;z)</div><div class="ttdoc">Returns the imaginary part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:72</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a9050cd0f48c7a7b718ea9223299b3a82"><div class="ttname"><a href="classcutlass_1_1complex.html#a9050cd0f48c7a7b718ea9223299b3a82">cutlass::complex::complex</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex(T r=T(0))</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> complex.h:116</div></div>
<div class="ttc" id="namespacecutlass_html_a326d3123e33cfd02c4e7ad519c56561f"><div class="ttname"><a href="namespacecutlass.html#a326d3123e33cfd02c4e7ad519c56561f">cutlass::norm_accumulate</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE R norm_accumulate(T const &amp;x, R const &amp;accumulator)</div><div class="ttdoc">Norm-accumulate calculation. </div><div class="ttdef"><b>Definition:</b> complex.h:343</div></div>
<div class="ttc" id="half_8h_html"><div class="ttname"><a href="half_8h.html">half.h</a></div><div class="ttdoc">Defines a class for using IEEE half-precision floating-point types in host or device code...</div></div>
<div class="ttc" id="namespacecutlass_html_a8d529517dadbc9ff697183cfb3e9a21f"><div class="ttname"><a href="namespacecutlass.html#a8d529517dadbc9ff697183cfb3e9a21f">cutlass::norm</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T norm(T const &amp;z)</div><div class="ttdoc">Returns the squared magnitude of a real number. </div><div class="ttdef"><b>Definition:</b> complex.h:325</div></div>
<div class="ttc" id="namespacecutlass_html_a7bd7a35ae6ef9c350ae342b8c75958c5"><div class="ttname"><a href="namespacecutlass.html#a7bd7a35ae6ef9c350ae342b8c75958c5">cutlass::polar</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; polar(T const &amp;r, T const &amp;theta=T())</div><div class="ttdoc">Returns a complex number with magnitude r and phase theta. </div><div class="ttdef"><b>Definition:</b> complex.h:369</div></div>
<div class="ttc" id="structcutlass_1_1half__t_html"><div class="ttname"><a href="structcutlass_1_1half__t.html">cutlass::half_t</a></div><div class="ttdoc">IEEE half-precision floating-point type. </div><div class="ttdef"><b>Definition:</b> half.h:126</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_adc03f7ab9c6a1c3b61073be3a4384c28"><div class="ttname"><a href="classcutlass_1_1complex.html#adc03f7ab9c6a1c3b61073be3a4384c28">cutlass::complex::operator!=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool operator!=(complex&lt; T &gt; const &amp;rhs) const </div><div class="ttdoc">Inequality operator. </div><div class="ttdef"><b>Definition:</b> complex.h:151</div></div>
<div class="ttc" id="namespacecutlass_html_ac0ea92c9a2a594446a84f7f86a79e143"><div class="ttname"><a href="namespacecutlass.html#ac0ea92c9a2a594446a84f7f86a79e143">cutlass::real</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE float const &amp; real(cuFloatComplex const &amp;z)</div><div class="ttdoc">Returns the real part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:56</div></div>
<div class="ttc" id="namespacecutlass_html_a05d95f26c93a6d956d770f140469ac07"><div class="ttname"><a href="namespacecutlass.html#a05d95f26c93a6d956d770f140469ac07">cutlass::exp</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; exp(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the complex exponential of z. </div><div class="ttdef"><b>Definition:</b> complex.h:375</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_aa2c8964e10eeaa99b2d1a18cdcbd0105"><div class="ttname"><a href="classcutlass_1_1complex.html#aa2c8964e10eeaa99b2d1a18cdcbd0105">cutlass::complex::imag</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T const &amp; imag() const </div><div class="ttdoc">Accesses the imaginary part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:240</div></div>
<div class="ttc" id="namespacecutlass_html_a59f08b1b99c4d52257b962d35ba55cdea35c3ace1970663a16e5c65baa5941b13"><div class="ttname"><a href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cdea35c3ace1970663a16e5c65baa5941b13">cutlass::ComplexTransform::kNone</a></div></div>
<div class="ttc" id="namespacecutlass_html_a2d34a68d49bf2a35de81b6600425b645"><div class="ttname"><a href="namespacecutlass.html#a2d34a68d49bf2a35de81b6600425b645">cutlass::arg</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T arg(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Returns the magnitude of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:319</div></div>
<div class="ttc" id="namespacecutlass_html_a67f9e83dd59615eff837ea66984c121c"><div class="ttname"><a href="namespacecutlass.html#a67f9e83dd59615eff837ea66984c121c">cutlass::log</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; log(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the complex exponential of z. </div><div class="ttdef"><b>Definition:</b> complex.h:381</div></div>
<div class="ttc" id="real_8h_html"><div class="ttname"><a href="real_8h.html">real.h</a></div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a0eae629b6e4bf0be4a8d259fcc59c842"><div class="ttname"><a href="classcutlass_1_1complex.html#a0eae629b6e4bf0be4a8d259fcc59c842">cutlass::complex::complex</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex(T r, T i)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> complex.h:120</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_acea055c11a695f0c14c4da2280b311f1"><div class="ttname"><a href="classcutlass_1_1complex.html#acea055c11a695f0c14c4da2280b311f1">cutlass::complex::operator==</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool operator==(complex&lt; T &gt; const &amp;rhs) const </div><div class="ttdoc">Equality operator. </div><div class="ttdef"><b>Definition:</b> complex.h:146</div></div>
<div class="ttc" id="namespacecutlass_html_adba9348e32642fa40c186b5ca6e5ba4e"><div class="ttname"><a href="namespacecutlass.html#adba9348e32642fa40c186b5ca6e5ba4e">cutlass::conj</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; conj(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Returns the complex conjugate. </div><div class="ttdef"><b>Definition:</b> complex.h:356</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a5a2b48db6f225da9f7463408bbc1bd16"><div class="ttname"><a href="classcutlass_1_1complex.html#a5a2b48db6f225da9f7463408bbc1bd16">cutlass::complex::operator*=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator*=(complex&lt; A &gt; const &amp;rhs)</div><div class="ttdoc">Multiplication. </div><div class="ttdef"><b>Definition:</b> complex.h:211</div></div>
<div class="ttc" id="cutlass_8h_html_a28c2443a142676d3d71effdae1a986b1"><div class="ttname"><a href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="ttdeci">#define CUTLASS_HOST_DEVICE</div><div class="ttdef"><b>Definition:</b> cutlass.h:89</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a416a4e464e141737936da35d1096a845"><div class="ttname"><a href="classcutlass_1_1complex.html#a416a4e464e141737936da35d1096a845">cutlass::complex::imag</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T &amp; imag()</div><div class="ttdoc">Accesses the imaginary part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:244</div></div>
<div class="ttc" id="namespacecutlass_html_a9ef7187befb09019b92e7eefa5e230d7"><div class="ttname"><a href="namespacecutlass.html#a9ef7187befb09019b92e7eefa5e230d7">cutlass::sin</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; sin(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the sin of complex z. </div><div class="ttdef"><b>Definition:</b> complex.h:407</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a8681bee9979b43f21d154e17725cb630"><div class="ttname"><a href="classcutlass_1_1complex.html#a8681bee9979b43f21d154e17725cb630">cutlass::complex::complex</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex(cuFloatComplex const &amp;z)</div><div class="ttdoc">Conversion from cuFloatComplex. </div><div class="ttdef"><b>Definition:</b> complex.h:129</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a09919ee4b99816bffed389b53f28dbf0"><div class="ttname"><a href="classcutlass_1_1complex.html#a09919ee4b99816bffed389b53f28dbf0">cutlass::complex::operator+</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator+(complex&lt; A &gt; const &amp;rhs) const </div><div class="ttdoc">Addition. </div><div class="ttdef"><b>Definition:</b> complex.h:157</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_afaeeace8c2987047400b83973e196aeb"><div class="ttname"><a href="classcutlass_1_1complex.html#afaeeace8c2987047400b83973e196aeb">cutlass::complex::real</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T const &amp; real() const </div><div class="ttdoc">Accesses the real part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:232</div></div>
<div class="ttc" id="namespacecutlass_html_a325f724545a11d64c5353664a1494ab2"><div class="ttname"><a href="namespacecutlass.html#a325f724545a11d64c5353664a1494ab2">cutlass::proj</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; proj(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Projects the complex number z onto the Riemann sphere. </div><div class="ttdef"><b>Definition:</b> complex.h:362</div></div>
<div class="ttc" id="classcutlass_1_1complex_html"><div class="ttname"><a href="classcutlass_1_1complex.html">cutlass::complex</a></div><div class="ttdef"><b>Definition:</b> complex.h:92</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_ad87393e41d5f5d9df5a34759aadb84e9"><div class="ttname"><a href="classcutlass_1_1complex.html#ad87393e41d5f5d9df5a34759aadb84e9">cutlass::complex::operator*</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator*(complex&lt; A &gt; const &amp;rhs) const </div><div class="ttdoc">Multiplication. </div><div class="ttdef"><b>Definition:</b> complex.h:169</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a2d058be8ca865bc8556228a843538b92"><div class="ttname"><a href="classcutlass_1_1complex.html#a2d058be8ca865bc8556228a843538b92">cutlass::complex::operator*=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator*=(A s)</div><div class="ttdoc">Scalar multiplication. </div><div class="ttdef"><b>Definition:</b> complex.h:218</div></div>
<div class="ttc" id="namespacecutlass_html_a59f08b1b99c4d52257b962d35ba55cdea8be1522542c86e700b5e787b1aabc70b"><div class="ttname"><a href="namespacecutlass.html#a59f08b1b99c4d52257b962d35ba55cdea8be1522542c86e700b5e787b1aabc70b">cutlass::ComplexTransform::kConjugate</a></div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a2b4f7ab916a7b0f672a05a73a4d77e4b"><div class="ttname"><a href="classcutlass_1_1complex.html#a2b4f7ab916a7b0f672a05a73a4d77e4b">cutlass::complex::real</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T &amp; real()</div><div class="ttdoc">Accesses the real part of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:236</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_ab6920fb37eafe6d03164bf781cfefd8e"><div class="ttname"><a href="classcutlass_1_1complex.html#ab6920fb37eafe6d03164bf781cfefd8e">cutlass::complex::operator*</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator*(A const &amp;s) const </div><div class="ttdoc">Scalar Multiplication. </div><div class="ttdef"><b>Definition:</b> complex.h:176</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_acc9f522dfb539d55ac28e3629ce94da4"><div class="ttname"><a href="classcutlass_1_1complex.html#acc9f522dfb539d55ac28e3629ce94da4">cutlass::complex::operator+=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator+=(complex&lt; A &gt; const &amp;rhs)</div><div class="ttdoc">Addition. </div><div class="ttdef"><b>Definition:</b> complex.h:197</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a4259062ad08abe3f16d1d9d461c6716e"><div class="ttname"><a href="classcutlass_1_1complex.html#a4259062ad08abe3f16d1d9d461c6716e">cutlass::complex::operator/</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator/(complex&lt; A &gt; const &amp;rhs) const </div><div class="ttdoc">Division. </div><div class="ttdef"><b>Definition:</b> complex.h:182</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a41f71af804002f802c0a6fbc4d8938a0"><div class="ttname"><a href="classcutlass_1_1complex.html#a41f71af804002f802c0a6fbc4d8938a0">cutlass::complex::operator/=</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; &amp; operator/=(complex&lt; A &gt; const &amp;rhs)</div><div class="ttdoc">Division. </div><div class="ttdef"><b>Definition:</b> complex.h:225</div></div>
<div class="ttc" id="classcutlass_1_1complex_html_a2a853405a46cc6ed36185a80bd2aae98"><div class="ttname"><a href="classcutlass_1_1complex.html#a2a853405a46cc6ed36185a80bd2aae98">cutlass::complex::complex</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex(complex&lt; A &gt; const &amp;z)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> complex.h:125</div></div>
<div class="ttc" id="namespacecutlass_html_aaa5f2bd47498161eb6cde61ff0461b59"><div class="ttname"><a href="namespacecutlass.html#aaa5f2bd47498161eb6cde61ff0461b59">cutlass::log10</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; log10(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the complex exponential of z. </div><div class="ttdef"><b>Definition:</b> complex.h:387</div></div>
<div class="ttc" id="structcutlass_1_1RealType_html"><div class="ttname"><a href="structcutlass_1_1RealType.html">cutlass::RealType</a></div><div class="ttdoc">Used to determine the real-valued underlying type of a numeric type T. </div><div class="ttdef"><b>Definition:</b> real.h:31</div></div>
<div class="ttc" id="cutlass_8h_html"><div class="ttname"><a href="cutlass_8h.html">cutlass.h</a></div><div class="ttdoc">Basic include for CUTLASS. </div></div>
<div class="ttc" id="classcutlass_1_1complex_html_af3ecad26ad7c54e461392b1c808f6ee2"><div class="ttname"><a href="classcutlass_1_1complex.html#af3ecad26ad7c54e461392b1c808f6ee2">cutlass::complex::operator/</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; operator/(A const &amp;s) const </div><div class="ttdoc">Scalar Division. </div><div class="ttdef"><b>Definition:</b> complex.h:191</div></div>
<div class="ttc" id="namespacecutlass_html_a28f05d94dbdfc97cddbeab3a5d23839d"><div class="ttname"><a href="namespacecutlass.html#a28f05d94dbdfc97cddbeab3a5d23839d">cutlass::sqrt</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE complex&lt; T &gt; sqrt(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Computes the square root of complex number z. </div><div class="ttdef"><b>Definition:</b> complex.h:393</div></div>
<div class="ttc" id="structcutlass_1_1RealType_3_01complex_3_01T_01_4_01_4_html_ae6eb6abf3c759633ac9cac2ca34c60e9"><div class="ttname"><a href="structcutlass_1_1RealType_3_01complex_3_01T_01_4_01_4.html#ae6eb6abf3c759633ac9cac2ca34c60e9">cutlass::RealType&lt; complex&lt; T &gt; &gt;::Type</a></div><div class="ttdeci">T Type</div><div class="ttdef"><b>Definition:</b> complex.h:416</div></div>
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